6533b871fe1ef96bd12d1a6b

RESEARCH PRODUCT

Skyrme effective pseudopotential up to next-to-next-to leading order

Dany DavesneJesús NavarroAlessandro Pastore

subject

Nuclear and High Energy PhysicsEquation of stateNuclear Theory[PHYS.NUCL]Physics [physics]/Nuclear Theory [nucl-th]FOS: Physical sciences01 natural scienceslaw.inventionPseudopotentialNuclear Theory (nucl-th)Theoretical physicslawQuantum mechanics0103 physical sciencesOrder (group theory)Cartesian coordinate systemGauge theory010306 general physicsPhysicsBasis (linear algebra)010308 nuclear & particles physicsHigh Energy Physics::PhenomenologyFísicaNuclear matterNucleiSurfaceTensor forceHomogeneous space

description

The explicit form of the next-to-next-to-leading order ((NLO)-L-2) of the Skyrme effective pseudopotential compatible with all required symmetries and especially with gauge invariance is presented in a Cartesian basis. It is shown in particular that for such a pseudopotential there is no spin-orbit contribution and that the D-wave term suggested in the original Skyrme formulation does not satisfy the invariance properties. The six new (NLO)-L-2 terms contribute to both the equation of state and the Landau parameters. These contributions to symmetric nuclear matter are given explicitly and discussed.

10.1088/0954-3899/40/9/095104http://hal.in2p3.fr/in2p3-00842987